A
stringlengths 4
41
| B
stringlengths 4
41
| E
int64 0
1
| H1
int64 0
1
| H2
int64 0
1
| H3
int64 0
1
| label
stringclasses 2
values |
|---|---|---|---|---|---|---|
(w&~((n>i)))
|
(~((~(~(((n>n)&i)))>~(n)))>((i&n)&c))
| 1 | 0 | 0 | 0 |
entailment
|
((i&(w>~(~((i|(c&i))))))|(i|i))
|
(n>i)
| 1 | 1 | 0 | 0 |
entailment
|
(w&~((n>i)))
|
(n>i)
| 0 | 1 | 1 | 0 |
not entailment
|
((i&(w>~(~((i|(c&i))))))|(i|i))
|
(~((~(~(((n>n)&i)))>~(n)))>((i&n)&c))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((i>c)|n))&w)
|
~(((c&~((c|w)))|~(i)))
| 1 | 0 | 1 | 0 |
entailment
|
~((((i|w)&i)|~((~(~(c))>c))))
|
~(i)
| 1 | 1 | 1 | 1 |
entailment
|
(~(((i>c)|n))&w)
|
~(i)
| 0 | 1 | 1 | 0 |
not entailment
|
~((((i|w)&i)|~((~(~(c))>c))))
|
~(((c&~((c|w)))|~(i)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((n|~(~((n|(c&n)))))|n)&i)
|
((c|n)|(w|~((i|(n|n)))))
| 1 | 1 | 0 | 0 |
entailment
|
~((c&c))
|
~((c&i))
| 1 | 1 | 0 | 0 |
entailment
|
(((n|~(~((n|(c&n)))))|n)&i)
|
~((c&i))
| 0 | 1 | 1 | 0 |
not entailment
|
~((c&c))
|
((c|n)|(w|~((i|(n|n)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(w&w)
|
(w&(w&w))
| 1 | 0 | 1 | 1 |
entailment
|
(c&(n>(n|w)))
|
((n|i)>c)
| 1 | 1 | 0 | 0 |
entailment
|
(w&w)
|
((n|i)>c)
| 0 | 0 | 0 | 0 |
not entailment
|
(c&(n>(n|w)))
|
(w&(w&w))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(c)&n)
|
(((c|n)|~(~(w)))>n)
| 1 | 0 | 0 | 0 |
entailment
|
(w|(~((c|w))&(w&~((n&(n>c))))))
|
(((((c>n)&~((n>w)))>i)&i)>(n>(n&w)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(c)&n)
|
(((((c>n)&~((n>w)))>i)&i)>(n>(n&w)))
| 0 | 0 | 0 | 0 |
not entailment
|
(w|(~((c|w))&(w&~((n&(n>c))))))
|
(((c|n)|~(~(w)))>n)
| 0 | 1 | 1 | 1 |
not entailment
|
~((((m|(~(m)>(g&w)))|~((w&g)))>(x>g)))
|
(~((~(m)>(x>g)))|(x|g))
| 1 | 1 | 1 | 0 |
entailment
|
((((~(m)&g)>(m>g))&m)|m)
|
((g|(w>(m|g)))&~(~(m)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((m|(~(m)>(g&w)))|~((w&g)))>(x>g)))
|
((g|(w>(m|g)))&~(~(m)))
| 0 | 1 | 1 | 1 |
not entailment
|
((((~(m)&g)>(m>g))&m)|m)
|
(~((~(m)>(x>g)))|(x|g))
| 0 | 1 | 0 | 0 |
not entailment
|
((w>g)&x)
|
((m>m)>x)
| 1 | 1 | 0 | 0 |
entailment
|
((~(m)|g)&(((w&g)&(x>x))&g))
|
((x>(x>m))|g)
| 1 | 1 | 1 | 0 |
entailment
|
((w>g)&x)
|
((x>(x>m))|g)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(m)|g)&(((w&g)&(x>x))&g))
|
((m>m)>x)
| 0 | 1 | 1 | 0 |
not entailment
|
(x&(w&g))
|
~(((g>g)&~(~((~(x)&((g|x)>(g>g)))))))
| 1 | 0 | 1 | 0 |
entailment
|
(((m>(x>w))&(w|~(w)))>~((m>g)))
|
((x>((g&g)>~(g)))|m)
| 1 | 1 | 1 | 0 |
entailment
|
(x&(w&g))
|
((x>((g&g)>~(g)))|m)
| 0 | 0 | 0 | 0 |
not entailment
|
(((m>(x>w))&(w|~(w)))>~((m>g)))
|
~(((g>g)&~(~((~(x)&((g|x)>(g>g)))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(w&x)
|
(~(~((w|m)))|~((w>(m|((w|w)|(m&w))))))
| 1 | 0 | 0 | 0 |
entailment
|
((g>g)&(g|m))
|
(g|m)
| 1 | 1 | 1 | 1 |
entailment
|
(w&x)
|
(g|m)
| 0 | 1 | 0 | 0 |
not entailment
|
((g>g)&(g|m))
|
(~(~((w|m)))|~((w>(m|((w|w)|(m&w))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((x|(~(w)>g))>(g&g))&(x>m)))|(g>m))
|
(~((((x|g)>m)|(x&x)))>~((~((g&x))&w)))
| 1 | 1 | 1 | 0 |
entailment
|
((~(~(m))|(g>(~(x)>x)))>(g&g))
|
(~((g&g))>~((w>g)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((((x|(~(w)>g))>(g&g))&(x>m)))|(g>m))
|
(~((g&g))>~((w>g)))
| 0 | 1 | 1 | 1 |
not entailment
|
((~(~(m))|(g>(~(x)>x)))>(g&g))
|
(~((((x|g)>m)|(x&x)))>~((~((g&x))&w)))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&((x>g)>((g&~((m&m)))|(x&w))))
|
(x&m)
| 1 | 1 | 1 | 1 |
entailment
|
(~((m|g))&~((m|w)))
|
(g|~(((~(w)>x)&w)))
| 1 | 1 | 0 | 0 |
entailment
|
(m&((x>g)>((g&~((m&m)))|(x&w))))
|
(g|~(((~(w)>x)&w)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((m|g))&~((m|w)))
|
(x&m)
| 0 | 1 | 0 | 0 |
not entailment
|
(g&(((m>x)&x)&g))
|
~(~(x))
| 1 | 1 | 1 | 1 |
entailment
|
(~((((((m>m)|x)>x)>~((w&m)))>m))&~(w))
|
((~(w)&x)|~(((g&(m|(w&w)))|m)))
| 1 | 1 | 0 | 0 |
entailment
|
(g&(((m>x)&x)&g))
|
((~(w)&x)|~(((g&(m|(w&w)))|m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((((m>m)|x)>x)>~((w&m)))>m))&~(w))
|
~(~(x))
| 0 | 1 | 1 | 1 |
not entailment
|
(g&w)
|
(w>(g|g))
| 1 | 0 | 1 | 0 |
entailment
|
(~((g&(g>(g|(x>m)))))&w)
|
((g&g)>m)
| 1 | 1 | 1 | 0 |
entailment
|
(g&w)
|
((g&g)>m)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((g&(g>(g|(x>m)))))&w)
|
(w>(g|g))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~((m&((w>w)|w))))&~((x>(m&g))))
|
((~(~(m))|(~(((x|g)&(g>g)))|(g|m)))|m)
| 1 | 0 | 1 | 0 |
entailment
|
(~(((x&g)|m))&~(((x>g)&((x&x)>~(x)))))
|
(~(m)&~(m))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~((m&((w>w)|w))))&~((x>(m&g))))
|
(~(m)&~(m))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(((x&g)|m))&~(((x>g)&((x&x)>~(x)))))
|
((~(~(m))|(~(((x|g)&(g>g)))|(g|m)))|m)
| 0 | 1 | 1 | 0 |
not entailment
|
(m&~(((m|(~((x>m))&(m|(x|w))))>(m&g))))
|
(((x|g)&((x>w)&x))>(w&m))
| 1 | 1 | 1 | 0 |
entailment
|
(w&x)
|
~((((m|x)&(w|x))&~((x&w))))
| 1 | 0 | 0 | 0 |
entailment
|
(m&~(((m|(~((x>m))&(m|(x|w))))>(m&g))))
|
~((((m|x)&(w|x))&~((x&w))))
| 0 | 1 | 1 | 0 |
not entailment
|
(w&x)
|
(((x|g)&((x>w)&x))>(w&m))
| 0 | 0 | 0 | 0 |
not entailment
|
(w&(((~(~(~(x)))&~(w))>w)>x))
|
(((~((m>(w>(g&g))))|x)>((w|~(w))>w))|m)
| 1 | 0 | 0 | 0 |
entailment
|
~((g&(g>(w|g))))
|
(g>((x>(~(g)>m))&~((~(x)>(w|x)))))
| 1 | 0 | 0 | 0 |
entailment
|
(w&(((~(~(~(x)))&~(w))>w)>x))
|
(g>((x>(~(g)>m))&~((~(x)>(w|x)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((g&(g>(w|g))))
|
(((~((m>(w>(g&g))))|x)>((w|~(w))>w))|m)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((x&w)>(x&~((w>x)))))
|
(g>w)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((g&g)&((x|g)&(g>g))))|(w&x)))
|
((g|(~(w)|((w|m)&g)))|m)
| 1 | 1 | 0 | 0 |
entailment
|
~(((x&w)>(x&~((w>x)))))
|
((g|(~(w)|((w|m)&g)))|m)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((g&g)&((x|g)&(g>g))))|(w&x)))
|
(g>w)
| 0 | 1 | 1 | 0 |
not entailment
|
(((g>w)&x)&~(g))
|
(~((g&m))>(g>(m&w)))
| 1 | 0 | 0 | 0 |
entailment
|
((g&~(m))&((w|w)>m))
|
(m>~(x))
| 1 | 1 | 0 | 0 |
entailment
|
(((g>w)&x)&~(g))
|
(m>~(x))
| 0 | 1 | 0 | 0 |
not entailment
|
((g&~(m))&((w|w)>m))
|
(~((g&m))>(g>(m&w)))
| 0 | 1 | 1 | 0 |
not entailment
|
((u&(u&u))&(~(u)>~(u)))
|
(((u>u)|u)>u)
| 1 | 1 | 1 | 1 |
entailment
|
((u|u)>~(u))
|
(((u|u)>~(u))&(~((u&u))|u))
| 1 | 0 | 1 | 0 |
entailment
|
((u&(u&u))&(~(u)>~(u)))
|
(((u|u)>~(u))&(~((u&u))|u))
| 0 | 0 | 1 | 1 |
not entailment
|
((u|u)>~(u))
|
(((u>u)|u)>u)
| 0 | 1 | 1 | 0 |
not entailment
|
((((u>u)>(u>u))>u)&(u>(u|(u&u))))
|
(u&(((~(u)&(u|u))&u)>((u&u)&u)))
| 1 | 1 | 1 | 1 |
entailment
|
~(u)
|
~(~(~(u)))
| 1 | 0 | 1 | 1 |
entailment
|
((((u>u)>(u>u))>u)&(u>(u|(u&u))))
|
~(~(~(u)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(u)
|
(u&(((~(u)&(u|u))&u)>((u&u)&u)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(l)
|
(((l|q)&(g>x))>(~(((g|r)|q))>i))
| 1 | 0 | 0 | 0 |
entailment
|
~(((j>(k>q))|~(x)))
|
((r|y)>(x&(x>(~(q)|(k|y)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(l)
|
((r|y)>(x&(x>(~(q)|(k|y)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((j>(k>q))|~(x)))
|
(((l|q)&(g>x))>(~(((g|r)|q))>i))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(q)|((k>i)>y)))|(((q&i)&(r>r))|q))
|
((q|y)|~(~(~(~(((~(j)>x)&i))))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(k))
|
((y|(k&q))|(k|(~(g)|((q|~(r))&j))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(q)|((k>i)>y)))|(((q&i)&(r>r))|q))
|
((y|(k&q))|(k|(~(g)|((q|~(r))&j))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(k))
|
((q|y)|~(~(~(~(((~(j)>x)&i))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&j)
|
(x|i)
| 1 | 1 | 0 | 0 |
entailment
|
(i|(~((j>(q&i)))&(g&l)))
|
((g&g)|i)
| 1 | 1 | 1 | 1 |
entailment
|
(x&j)
|
((g&g)|i)
| 0 | 0 | 0 | 0 |
not entailment
|
(i|(~((j>(q&i)))&(g&l)))
|
(x|i)
| 0 | 1 | 0 | 0 |
not entailment
|
((j&i)&~((k&(k&(g|y)))))
|
(x>((g&l)>(~(~(q))|j)))
| 1 | 1 | 0 | 0 |
entailment
|
~(y)
|
(y>~(((g|(y|q))|(g>(q&j)))))
| 1 | 0 | 0 | 0 |
entailment
|
((j&i)&~((k&(k&(g|y)))))
|
(y>~(((g|(y|q))|(g>(q&j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(y)
|
(x>((g&l)>(~(~(q))|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(q))&(x&(j&l)))
|
(~(g)>~((x>~(j))))
| 1 | 1 | 0 | 0 |
entailment
|
~(k)
|
(i>~((k&q)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(q))&(x&(j&l)))
|
(i>~((k&q)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(k)
|
(~(g)>~((x>~(j))))
| 0 | 0 | 0 | 0 |
not entailment
|
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